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Finding the Fourth Proportional to 256.52, 384.09 and 223.71

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Solution

The fourth proportional to 256.52, 384.09 and 223.71 is: 334.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.52 : 384.09 = 223.71 : x
  2. Step 2: Convert to fraction form
    256.52/384.09 = 223.71/x
  3. Step 3: Cross multiply
    256.52x = 384.09 × 223.71
  4. Step 4: Simplify right side
    256.52x = 85,925.91
  5. Step 5: Solve for x
    x = 85,925.91/256.52
  6. Step 6: Final answer
    x = 334.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.